Elementary Algebra

$5x^2+33x-14$
Using $(a+b)(c+d)=ac+(ad+bc)+bd$, or the FOIL Method, the given expression, $(5x-2)(x+7) ,$ is equivalent to \begin{array}{l}\require{cancel} 5x^2+(35x-2x)-14 \\\\= 5x^2+33x-14 .\end{array}